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Question: Out of 250 students interviewed at a community college, 90 were taking mathematics but not comput...

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Out of 250 students interviewed at a community college, 90 were taking mathematics but not computer science. 160 were taking mathematics and 50 were taking neither mathematics nor computer science. Fill in the regions of a venn diagram and determine, showing your work, the probability that a student chosen at random was:

Taking just computer science

Taking mathematics or computer science but not both

Taking computer science

Not taking mathematics

Taking mathematics given that the student was taking computer science

Taking computer science given that the student was taking mathematics

Taking mathematics given that the student was taking computer science or mathematics

Out of 250 students interviewed at a community college, 90 were taking mathematics but not computer science. 160 were taking mathematics and 50 were taking neither mathematics nor computer science. Fill in the regions of a venn diagram and determine, showing your work, the probability that a student chosen at random was:

Taking just computer science

Taking mathematics or computer science but not both

Taking computer science

Not taking mathematics

Taking mathematics given that the student was taking computer science

Taking computer science given that the student was taking mathematics

Taking mathematics given that the student was taking computer science or mathematics

Mathematical Methods for Business and Economics 10.30. Find all relative extrema and inflection points for each of the following functions and sketch the graphs on your own. (a) f(x) = 4x3 - 48x2 - 240x + 29 ( b ) f (x ) = (x+6)3 (c) f(x) = -2x3 + 24x2+ 288x - 35 (d) f(x) = (2x + 7)4 (e) f(x) = -5x3 + 135x2 - 675x + 107 (f) f (x) = -3(4x - 11) 6 (g) f(x) = 3x3 - 58.5x2 + 360x - 49 (h) f(x) = 2(5x - 13)5 OPTIMIZATION OF FUNCTIONS 10.31. Optimize the following functions and test the second- order conditions at the critical points to distinguish between a relative maximum and a relative minimum. (a) y = 8x2 - 208x + 73Problem 4: Information Flow Management Suppose that you are the Strategic Manager of a social media company and currently trying to figure out the maximum amount of data that can be transferred from two data centers (node 1 and node 3) to the marketing data center (node 7). The network below represents the communication links that you can use and other nodes represent the data transit points. The numbers next to each arc represent the capacity of the link in terms of terabits/minute. [10] [10] [9] [9] [25] [12] [11] [11] 2 [13] [20] [15] [10] Mathematically formulate a network optimization model to determine the maximum amount of data that can be sent from nodes 1 and 3 to node 7 per minute. To do so, first state what type of network optimization model you will formulate and then mathematically formulate.Question 2 1 pts Cohabitation is on the rise, and marriage is declining. Fewer people are in breadwinner- homemaker marriages, and more women are in the workforce. According to the perspective, the family is less functional than in the past because of these changes, and these changes are problematic for society. O family in conflict family in decline family hegemony O symbolic family family diversityQUESTION 4 Identify the statement that illustrates a criticism of supply-side economics. Supply-side economics focus mainly on eliminating the trade-off between interest rates and investment spending Supply-side economics exaggerates the effects of tax cuts Supply-side economics exaggerates the effects of fluctuations in the price level Supply-side economics ignores the effects of a change in a component of demand QUESTION 5 Keynesian economists believe that People react to expectations quickly Unemployment is costlier than inflation The economy's self-correcting mechanism moves efficiently and quickly The Phillips curve is relatively steepQUESTION 90 WHICH OF THE FOLLOWING STATEMENTS DESCRIBES THE CIRCADIAN RHYTHM OF ACTH LEVELS? O DECREASED IN MORNING AND RISES SHARPLY UNTIL NOON WHEN IT BEGINS TO DECLINE RISES EARLY IN THE DAY, DECLINES THROUGHOUT THE DAY AND RISES AGAIN DURING THE NIGHT O DECREASED IN THE MORNING AND RISES THROUGHOUT THE DAY O ELEVATED IN MORNING AND STABILIZES UNTIL LATE IN AFTERNOON QUESTION 91 In Addisons disease you find that there is a decrease in hormonal secretion from the adrenal gland. This decrease in hormonal secretion causes which of the following responses? O Increased release of ACTH from the pituitary gland. O Decreased release of ACTH from the pituitary gland. There is no change. None of these answers are correct. QUESTION 92 Chick Save and Submit to save and submit. Click Save All Answers to save all answers. CF 2 3 5 9 O Q W E R T Y U O A S DF G H L K Z X C V B N M